Kinematics worksheet with answers

Free printable Kinematics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
t (s)v (m/s)11 s6

A train slows down uniformly from 13 m/s to 6 m/s in 11 s. How far does it travel in that time? Find s.

v₀ = 13 m/sv = 6 m/st = 11 s
s = m
2.Easy
t (s)v (m/s)4 sv = ?

A car moving at 16 m/s speeds up with a constant acceleration of 3.5 m/s² for 4 s. Find its final speed v.

v₀ = 16 m/sa = 3.5 m/s²t = 4 s
v = m/s
3.Medium
t (s)v (m/s)3.968 s13.89

A car driving at 50 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −3.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −7.5 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)11 s

A tram starts from rest and accelerates at 1.5 m/s² for 11 s, then runs at constant speed for 24 s, and finally brakes at 4 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1.5 m/s²t1 = 11 st2 = 24 sa3 = −4 m/s²
s = m
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 4.1 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

ttotal = 4.1 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 104.5 m
  2. 2. v = 30 m/s
  3. 3. s = 27.56 m
  4. 4. t = 1.667 s
  5. 5. s = 520.8 m
  6. 6. d = 74 m

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